The inequality described can be written as:
y < 3x + 2.
How to get the inequality?First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:
y < line.
The linear equation is of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:
[tex]a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3[/tex]
And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:
y < 3x + 2.
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y varies inversely as x. If y=4 when x=15, find y when x=12
The value of y given the inverse relationship is 5.
What is the value of y?If two variables vary inversely, as one variable increases, the other decreases in value.
The equation that is used to represent inverse relationship is:
y = k/x
Where k is the constant of proportionality
k = yx
k = 4 x 15 = 60
y = 60 / 12
y = 5
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The graph shows the quadratic function f, and the table shows the quadratic function g.
x -5 -4 -3 -2 -1 0 1
g(x) 10 7 6 7 10 15 22
A.
The functions f and g have the same axis of symmetry and the same minimum values.
B.
The functions f and g have different axes of symmetry and different minimum values.
C.
The functions f and g have the same axis of symmetry, but the minimum value of f is greater than the minimum value of g.
D.
The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.
Which statement is true?
Analyzing the quadratic functions, it is found that the correct option is D. The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.
How to analyze the function?Looking at the graph, Function f has a minimum value of 1 at x = -3. Hence, the axis of symmetry is x = -3.
Function g has a minimum value of 6 at x = -3. Hence, the axis of symmetry is also x = -3.
Therefore, the functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.
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2x=-4(1/4-3/4 x)+4
solve for x
Answer:
x=-3
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Step-by-step explanation:
Multiply part of the right side by - 4
2x = -4*1/4 + 4* 3x/4 + 4 Combine
2x = - 1 + 3x + 4 Combine again
2x = 3 + 3x Subtract 3x both sides
2x - 3x = 3 Combine
-x = 3 Multiply by -1.
-1 * -x = - 1 * 3
x = - 3
An isosceles right triangle has an area of 8cm^2. What is the length of its hypotenuse?
Answer:
Given, an isosceles right triangle has area 8 cm². We have to find the length of its hypotenuse. We know that in an isosceles triangle two sides are of equal length. Therefore, the length of the hypotenuse is √32 cm.
A jar of jelly beans has a mass of 1450kg.If the jars mass is 245g.What is the mass of jelly beans
Answer:
1449.755 kilograms
Step-by-step explanation:
245 grams is .245 kilograms meaning that in order to get the answer you would need to subtract 1450 by .245 which is 1449.755 which means that the mass of jelly beans would be 1449.755 kilograms
write the first six terms of the sequence f(n)=n^3+2
Answer:
[tex]3,10,29,66,127,218[/tex]
Step-by-step explanation:
[tex]f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2) =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4) = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218[/tex]
Find the measures of the angles of an isosceles triangle where the ratio of the vertex angle to one of the base angles is 1:2.
Answer:
Angles of the isosceles triangle are 36°, 72° , 72°
Step-by-step explanation:
Vertex angle : Base angle = 1 : 2
Vertex angle = x
Base angle = 2x
Sum of all angles of a triangle = 180°
x + 2x + 2x = 180°
5x = 180
x = 180 ÷ 5
x = 36°
2x = 2 *36 = 72°
Angles of the isosceles triangle are 36°, 72° , 72°
according to the graph,what is the value of the RANGE when the DOMAIN is 0
Answer:
it would be nice with a photo dude
Which answer choice has the set of numbers
ordered correctly from least to greatest?
16
13, √, 1.71, 9
3
√. 12, 16, 1.71
4
3
16
1.71, 12, 1
9
O
16.1.71,√, 12
3
9
Answer:
0
3
3
3
8
9
12,161.71√
I think his is the best order
There are 6 girls and 5 boys in a debate class. The teacher chooses two students at random to lead a class discussion. What is the probability of selecting a girl and then a boy
Answer:
Step-by-step explanation:
There are 11 students in total.
6 girls.
and 5 boys.
so the probability of selecting a girl is 1/5 because 5 boys or it could be 1/11 if i am not mistaken.
(which i might be)
(2) If the price of an item is represented by p, a final price of 0.7p indicates a discount of what percent?
Answer:
30%
Step-by-step explanation:
First subtract: 1 - .70 = .30
Then move decimal over to the right 2 times and add percentage sign instead of the decimal: 30%
the distance between dakshes's house and his school is 7 km.how many kilometers does he have travel in 6 days
Answer:
84km
Step-by-step explanation:
He has to travel 7 km in the morning to school and 7 km in the afternoon to home. 7km x 2 = 14km/day
He's making this trip 6 days a week: 6 days x 14km/day = 84km
7km x 2/day x 6 days = 84km
Calculate 3.1 x 108 divided by 6.7 x 103 by using Scientific Notation and the product rule. Write your answer in Scientific Notation. Round to the nearest tenth.
After calculation the value is 4.62 * 10⁴ in Scientific Notation.
What are Scientific Notations ?It is a way of presenting very large and small number in simpler and more understandable form.
It is given that
Calculate 3.1 x 10⁸ divided by 6.7 x 10³
[tex]\rm \dfrac{3.1*10^8}{6.7*10^3}\\\\By \;the \;exponent\; theorem\\\\\dfrac{a^m}{a^n} = a ^{m-n}[/tex]
Therefore
0.462 * 10⁵
4.62 * 10⁴
Therefore the answer after calculation is 4.62 * 10⁴ .
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What is the solution to this Equation?
2(5x+8) = 6x+20
A. X = -1
B. X=9
C. X = -9
D. x = 1
Answer:
D(x=1).
Step-by-step explanation:
2(5x+8)=6x+20
10x+16=6x+20
10-6x+16=6x-6x+20
4x+16=20
4x+16-16=20-16
4x=4
4x/4=4/4
x=1
The solution to this equation is x = 1
Given the equation, we apply the distributive property.
That is, let's multiply the terms:2( 5x + 8 ) = 6x + 20
10x + 16 = 6x + 20
Now we will subtract the terms on both sides of the sentence:10x - 6x = 20 - 16
4x = 4
Finally, let's divide the second to the first term:x = 4 ÷ 4
x = 1
Therefore, the value of this equation is x = 1
There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four
If the team can only send four divers to a competition. Then the number of the ways will be 330.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
There are eleven divers on a swim team. If the team can only send four divers to a competition.
Then the number of the ways will be
Number of ways = ¹¹C₄
Number of ways = 11! / [(11 - 4)! x 4!]
Number of ways = 330
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If k is an integer, which of the
following must be odd?
F. 7k-1
G. 3k + 2
H. 1-5k
J. 7+2k
Answer:
J
Step-by-step explanation:
F is wrong, Lets say K is 1, then 7-1 = 6
G is wrong, say K is 2, then 6+2 = 8
H is wrong, say K is 1, then 1 - 5 = -4
J is right, Say K is 1, then 7+2 = 9, say K is 2, then 7+4 = 11, any integer used is an odd number
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
What is one solution of the following system?
StartLayout Enlarged left-brace 1st row 2 y minus 2 x = 12 2nd row x squared + y squared = 36 EndLayout
Answer:
what environmental ethics
The table shows points that lie on the line.
Answer:
y = 5x + 2
Step-by-step explanation:
slope intercept form is y = mx+ b
the y- intercept is 0,2 so 2 is your b.
for m you do rise over run aka y/x. for every 5 rise up the x runs one so your slope(m) = 5
so y=5x+2
Help I want to learn how to solve this not just the answer please
Step-by-step explanation:
Cancel out the common factor 2
A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given.
a. Find BC, the distance from Tower 2 to the plane, to the nearest foot.
b. Find CD, the height of the plane from the ground, to the nearest foot.
Please show work!
Answer:
part 1) BC is 17491 ft
part 2) CD is 6499 ft
Step-by-step explanation:
Find the product or type
"impossible"
The multiplication of the matrix [tex]\left[\begin{array}{ccc}4\\9\\7\end{array}\right] \left[\begin{array}{ccc}1&-2&1\end{array}\right][/tex]will be [tex]\left[\begin{array}{ccc}4&-8&4\\9&-18&9\\7&-14&7\end{array}\right][/tex].
What is the matrix?A matrix is a representation of the rectangular arrangement of numbers into rows and columns.
Matrix multiplication refers to the product of two matrices.
The condition of matrix multiplication is that the number of columns of the 1st matrix must equal the number of rows of the 2nd one.
The given matrix are
[tex]\left[\begin{array}{ccc}4\\9\\7\end{array}\right] \left[\begin{array}{ccc}1&-2&1\end{array}\right][/tex]
The multiplication of the matrix will be
[tex]\left[\begin{array}{ccc}4&-8&4\\9&-18&9\\7&-14&7\end{array}\right][/tex]
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Which exponential function has a growth factor of 5?
o f(x) = 2(54)
An example of a exponential function with growth rate of 5 is given as y = 2(5)^4
Exponential functionsThese are functions that increases geometrically. The standard exponential function is given as;
y = ab^x
where
a is the base valuex is the exponentb determine the growth or decayAn example of a exponential function with growth rate of 5 is given as y = 2(5)^4
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Describe the effect the change in scale has on what the graph suggests. a. On graph B, the group of birds seems to have twice as much as the group of mammals. b. The differences between the groups seems much less in Graph A. c. The differences between the groups seems much less in Graph B. d. On graph A, the group of mammals seems to have one-quarter as much as the group of fish. Please select the best answer from the choices provided
The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.
What is a graph?It should be noted that graph simply means a diagram that's used to show the information about a data given.
Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.
Therefore, the correct option is C.
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What is the recursive formula for this geometric sequence?
6, -24, 96, -384, ...
Answer: a1=6
An = An-1 - 4
Step-by-step explanation:
N represent what number in the sequence you choose. So in the equation n-1 would be the umber in the equation subtracting 1 then subtracting the difference. The factor you are multiplying by in this sequence is -4. You find the difference by taking any number in the sequence and dividing it by the previous number in the sequence.
Simplify the square root of 5 times the cube root of 5.
Answer:
3.82362
rounded: 3.82
Step-by-step explanation:
Suppose we take a survey and use the sample proportion to calculate a confidence interval. Which level of confidence gives the confidence interval with the largest margin of error
Answer:
See below
Step-by-step explanation:
I do not see any options, but it is important to note that the bigger the level of confidence, the larger the margin of error will be.
Can you help me with this? it would help!
only help if u know :D
The number of students in the school given the number of people that attended the dance is 128.
How many students are there?Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
Number of students = number of students at the dance / percentage that attended the dance
32 / 25%
32 / 0.25 = 128
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what is the equation of a circle with center (2,4) and radius 7
Answer:
try texting new food
Step-by-step explanation:
I do not know
Is y=2x-3 a funtion?
Answer:
yes
Step-by-step explanation:
Yes.
The graph of y = 2x - 2 is a straight line sloping up to the right.
It passes the vertical line test, so it is a function.